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Finding the Fourth Proportional to 392.32, 588.26 and 145.44

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Solution

The fourth proportional to 392.32, 588.26 and 145.44 is: 218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.32 : 588.26 = 145.44 : x
  2. Step 2: Convert to fraction form
    392.32/588.26 = 145.44/x
  3. Step 3: Cross multiply
    392.32x = 588.26 × 145.44
  4. Step 4: Simplify right side
    392.32x = 85,556.53
  5. Step 5: Solve for x
    x = 85,556.53/392.32
  6. Step 6: Final answer
    x = 218.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.